Three-nucleon forces from chiral effective field theory

By Evgeny Epelbaum, A. Nogga, W. Glöckle, H. Kamada, U. Meissner, H. Witała. 2002

433 citations recorded by the source corpus.

We perform the first fully consistent analysis of $\mathrm{nd}$ scattering at next-to-next-to-leading order in chiral effective field theory including the corresponding three-nucleon force and extending our previous work, where only the two-nucleon interaction has been taken into account. The three-nucleon force appears first at this order in the chiral expansion and depends on two unknown parameters. These two parameters are determined from the triton binding energy and $\mathrm{nd}$ doublet scattering length. We find an improved description of various scattering observables in relation to the next-to-leading order results especially at moderate energies ${(E}_{\mathrm{lab}}=65\mathrm{MeV}).$ It is demonstrated that the long-standing ${A}_{y}$ problem in $\mathrm{nd}$ elastic scattering is still not solved by the leading 3NF, although some visible improvement is observed. We discuss possibilities of solving this puzzle. The predicted binding energy for the $\ensuremath{\alpha}$ particle agrees with the empirical value.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9a9db0ac0266fbd5ffff445675dbff1908154f1c

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In Nuclear and High Energy Physics

Citations in the corpus

High-Precision Nuclear Forces From Chiral EFT: State-of-the-Art, Challenges, and Outlook (2019, methodology): “They are given by the two-pion exchange diagram involving the LECs ci and two shorter-range tree-level diagrams involving the LECs D and E [44, 98].”
Universality in few‐body systems with large scattering length (2004, methodology): “We also show some calculations using phenomenological potentials [217] and a chiral EFT potential with explicit pions [229].”